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Finding the Fourth Proportional to 20,901.80, 28,843.54 and 11,470.16

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Solution

The fourth proportional to 20,901.80, 28,843.54 and 11,470.16 is: 15,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,901.80 : 28,843.54 = 11,470.16 : x
  2. Step 2: Convert to fraction form
    20,901.80/28,843.54 = 11,470.16/x
  3. Step 3: Cross multiply
    20,901.80x = 28,843.54 × 11,470.16
  4. Step 4: Simplify right side
    20,901.80x = 330,839,845.87
  5. Step 5: Solve for x
    x = 330,839,845.87/20,901.80
  6. Step 6: Final answer
    x = 15,828.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.